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Question: please prove all of number 6...

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Please prove all of number 6
6. (a) Let R be a commutative ring with identity. Prove that R is a field if and only if the only ideals of R are (0 and R. (b) Give an example of a ring that has exactly three ideals. (c) Show that M2(R), the ring of 2 x 2 matrices with entries from the real numbers, has no nontrivial proper two-sided ideals but is not a division ring
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